6533b7dcfe1ef96bd1272833
RESEARCH PRODUCT
Tensor products, multiplications and Weyl’s theorem
B. P. DuggalPietro Aienasubject
Weyl tensorPure mathematicsComplement (group theory)General MathematicsExtension (predicate logic)Mathematics::Spectral TheoryType (model theory)symbols.namesakeTransfer (group theory)Tensor productTensor (intrinsic definition)symbolsWeyl transformationMathematics::Representation TheoryMathematicsdescription
Tensor productsZ=T 1⊗T 2 and multiplicationsZ=L T 1 R T 2 do not inherit Weyl’s theorem from Weyl’s theorem forT 1 andT 2. Also, Weyl’s theorem does not transfer fromZ toZ*. We prove that ifT i,i=1, 2, has SVEP (=the single-valued extension property) at points in the complement of the Weyl spectrumσ w(Ti) ofT i, and if the operatorsT i are Kato type at the isolated points ofσ(Ti), thenZ andZ* satisfy Weyl’s theorem.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-10-01 | Rendiconti del Circolo Matematico di Palermo |